2(n+5)=6+3n

Solution for 2(n+5)=6+3n equation:

Simplifying
2(n + 5) = 6 + 3n

Reorder the terms:
2(5 + n) = 6 + 3n
(5 * 2 + n * 2) = 6 + 3n
(10 + 2n) = 6 + 3n

Solving
10 + 2n = 6 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
10 + 2n + -3n = 6 + 3n + -3n

Combine like terms: 2n + -3n = -1n
10 + -1n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + -1n = 6 + 0
10 + -1n = 6

Add '-10' to each side of the equation.
10 + -10 + -1n = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 6 + -10
-1n = 6 + -10

Combine like terms: 6 + -10 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4